Hyper-exponential increase

Natural selection has been found to accelerate the population dynamic growth rate

While there is plenty of evidence that shows that evolutionary processes often operate on population dynamic time-scales (see reviews by Thompson, 1998; Hairston et al., 2005; Saccheri and Hanski, 2006; Schoener, 2011), direct empirical evidence for hyper-exponential growth is currently rather limited. But natural selection has been found to accelerate the population dynamic growth rate of aphids by up to 40% over few generations at low densities (Turcotte et al., 2011a,b).